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Finding the Third Proportional to 370,076 and 553,621

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Solution

The third proportional to 370,076 and 553,621 is: 828,198.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,076 : 553,621 = 553,621 : x
  2. Step 2: Convert to fraction form
    370,076/553,621 = 553,621/x
  3. Step 3: Cross multiply
    370,076x = 553,621 × 553,621
  4. Step 4: Simplify right side
    370,076x = 306,496,211,641
  5. Step 5: Solve for x
    x = 306,496,211,641/370,076
  6. Step 6: Final answer
    x = 828,198.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.